Under the term vertex we can imagine one point in the 3D space. When working with 3D models, vertexes contains besides their coordinates also a normal, color or position on the texture.
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Polygon (mostly a triangle) represents closed area bounded by at least three vertexes, that is the smallest determinable part of the model surface.
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The normal gives the direction, from where will the given vertex (point on the mesh) receive most light. Has influence on the model lighting.
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Mesh is a network of vertexes and polygons created from them, that describes appearance of the model.
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Image, that is mapped to (stretched on) the model. Textures increase appearance of the model to a more real way. Textures are often used with success instead of complicated mesh.
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